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Finding the Third Proportional to 1,480,409 and 3,227,146

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Solution

The third proportional to 1,480,409 and 3,227,146 is: 7,034,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,409 : 3,227,146 = 3,227,146 : x
  2. Step 2: Convert to fraction form
    1,480,409/3,227,146 = 3,227,146/x
  3. Step 3: Cross multiply
    1,480,409x = 3,227,146 × 3,227,146
  4. Step 4: Simplify right side
    1,480,409x = 10,414,471,305,316
  5. Step 5: Solve for x
    x = 10,414,471,305,316/1,480,409
  6. Step 6: Final answer
    x = 7,034,860.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.